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A Short Note on the Exact Counting of Tree-Child Networks

Published 8 Oct 2021 in q-bio.PE and math.CO | (2110.03842v1)

Abstract: Tree-child networks are an important network class which are used in phylogenetics to model reticulate evolution. In a paper, Pons and Batle (2021) conjectured a relation between tree-child networks and certain words. In this short note, we prove their conjecture for the (important) class of one-component tree-child networks.

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